I second all the suggestions.
If you’re using a drill press, after good center punch transfer of your pattern, I like using a lathe center drill bit. See picture. It has very little deflection and is primarily used to start the hole on the center punch. I don’t clamp the piece down until the center drill bit finds its center on the center punch mark. Then with light pressure down on the center drill (drill press off) clamp down your piece tight change drill bit and drill. While still clamped change to chamfer bit and chamfer. Works good by hand too, but is not as accurate. Center punch, center drill, drill, chamfer, repeat, repeat, repeat. 😇
And the local machine shop here says real cow’s butter or real lard makes for a good stainless steel drill bit coolant. Never tried either. But I know “DevTap” (trichloroethylene) used to be the best on 300 series stainless, but like so many things it’ll cause you to have blind pups if it soaks into your skin or breathe the fumes..😜
For really accurate hole a Bridgeport with a dividing head mounted on the table. It’ll test your math with your pattern you chose. 😁